Analytic Geometry Answers

Prove identity: [a,b]^2+(a,b)^2=|a|^2 * |b|^2, where a and b are vectors

Write in complex form equation of a line Ax+By+C=0

how to find trisecting points?

determine the two points of trisection p1(x_1,y_1) and p2(x_2,y_2) of the line segment joining A(3,-1) and B(9,7)
if possible can you show me some detailed explanation and some illustration.

Approximately how many 20cm x 20cm square tiles are needed to cover a square floor whose side is 16m?

how does the graph look like for 2y = x

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Ques. 28

The lines with equations x = 2, x = 5, y = 7, and y = 3 form a rectangle. What is the area of this rectangle?

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Ques. 15

A 20 m ladder and a 15 m ladder were leaned against a building. The bottom of the longer ladder was 7 m farther from the building than the bottom of the shorter ladder, but both ladders are the same distance up the building. Find the distance.

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Ques. 17

Use the information to write an equation of the parabola:

Focus: (-8, 0), Directrix: x = 8